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GED Math : GED Math

Study concepts, example questions & explanations for GED Math

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All GED Math Resources

4 Diagnostic Tests 263 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #35 : Solving For The Variable

Solve for the variable: x-7 = 2x-3

Possible Answers:

$-\frac{10}{3}$

$-\frac{4}{3}$

Correct answer:

Explanation:

Subtract from both sides.

x-7 -x= 2x-3-x

-7 = x-3

Add 3 on both sides.

-7 +3= x-3+3

x=-4

The answer is:

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Example Question #81 : Algebra

Give the solution set:

9 (x + 18) < 261

Possible Answers:

$\left \{ x| x< 27\right \}$

$\left \{ x| x< 31\right \}$

$\left \{ x| x< 11 \right \}$

$\left \{ x| x< 47\right \}$

Correct answer:

$\left \{ x| x< 11 \right \}$

Explanation:

First, distribute the 9 on the left by multiplying it by each expression in the parentheses:

9 (x + 18) < 261

$9 \cdot x + 9 \cdot 18 < 261$

9 x +162 < 261

Isolate on the right by first, subtracting 162 from both sides:

9 x +162 - 162 < 261 - 162

9 x < 99

Divide both sides by 9:

$\frac{9x }{9}< \frac{99}{9}$

x< 11

The correct solution set is $\left \{ x| x< 11 \right \}$ .

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Example Question #36 : Solving For The Variable

Which of the following makes this equation true:

12x+4=112

Possible Answers:

x=4

x=12

x=9

x=8

x=7

Correct answer:

x=9

Explanation:

To answer the question, we will solve for x. So, we get

12x+4=112

12x+4-4=112-4

12x=108

$\frac{12x}{12} = \frac{108}{12}$

x=9

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Example Question #31 : Solving For The Variable

Solve for : 3x+5 = -19

Possible Answers:

$-\frac{14}{3}$

Correct answer:

Explanation:

Subtract five from both sides.

3x+5 -5= -19-5

3x=-24

Divide by three on both sides.

$\frac{3x}{3}=\frac{-24}{3}$

The answer is:

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Example Question #641 : Ged Math

Solve the equation: -2x-3 = 4x-7

Possible Answers:

$-\frac{5}{3}$

$\frac{5}{3}$

$\frac{2}{3}$

$\frac{5}{4}$

$\frac{3}{2}$

Correct answer:

$\frac{2}{3}$

Explanation:

Add on both sides.

-2x-3 +2x= 4x-7+2x

-3 = 6x-7

Add 7 on both sides.

-3 +7= 6x-7+7

4= 6x

Divide by 6 on both sides.

$\frac{4}{6}= \frac{6x}{6}$

Reduce both fractions.

The answer is: $\frac{2}{3}$

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Example Question #642 : Ged Math

Solve for x.

$\frac{x}{12} = 11$

Possible Answers:

x=23

x=132

x=121

x=13

x=144

Correct answer:

x=132

Explanation:

To solve for x, we want x to stand alone. So, we get

$\frac{x}{12} = 11$

$\frac{x}{12} \cdot 12 = 11 \cdot 12$

x = 132

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Example Question #641 : Ged Math

Solve for : 2x-5 = 3x-2

Possible Answers:

$-\frac{3}{5}$

$\frac{7}{5}$

$-\frac{7}{5}$

Correct answer:

Explanation:

Subtract from both sides.

2x-5 -2x= 3x-2-2x

-5 = x-2

Add 2 on both sides.

-5+2 = x-2+2

-3 =x

The answer is:

Report an Error

Example Question #91 : Single Variable Algebra

Which of the following makes this equation true:

7y+19=75

Possible Answers:

y=19

y=7

y=8

y=9

y=12

Correct answer:

y=8

Explanation:

To answer the question, we will solve for y. We get

7y+19=75

7y+19-19=75-19

7y+0=56

7y=56

$\frac{7y}{7} = \frac{56}{7}$

y=8

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Example Question #91 : Algebra

Solve the following equation: 8x-15 = -3

Possible Answers:

$\frac{3}{2}$

$\textup{The answer is not given.}$

$\frac{9}{4}$

$-\frac{9}{4}$

$-\frac{3}{2}$

Correct answer:

$\frac{3}{2}$

Explanation:

Add 15 on both sides.

8x-15+15 = -3+15

Simplify both sides of the equation.

8x = 12

Divide by 8 on both sides.

$\frac{8x}{8} = \frac{12}{8}$

Reduce the fractions.

The answer is: $\frac{3}{2}$

Report an Error

Example Question #44 : Solving For The Variable

Solve for : 2h+6=4h+3

Possible Answers:

$\frac{1}{3}$

$\frac{3}{2}$

$\frac{9}{2}$

$\frac{2}{3}$

$\frac{4}{3}$

Correct answer:

$\frac{3}{2}$

Explanation:

Subtract from both sides.

2h+6-2h=4h+3-2h

6= 2h+3

Subtract 3 from both sides.

6-3= 2h+3-3

3=2h

Divide by 2 on both sides.

$\frac{3}{2}=\frac{2h}{2}$

The answer is: $\frac{3}{2}$

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All GED Math Resources

4 Diagnostic Tests 263 Practice Tests Question of the Day Flashcards Learn by Concept

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GED Math : GED Math

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #35 : Solving For The Variable

Example Question #81 : Algebra

Example Question #36 : Solving For The Variable

Example Question #31 : Solving For The Variable

Example Question #641 : Ged Math

Example Question #642 : Ged Math

Example Question #641 : Ged Math

Example Question #91 : Single Variable Algebra

Example Question #91 : Algebra

Example Question #44 : Solving For The Variable

All GED Math Resources

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